“We consider comprehensive tax reform with a significant corporate tax rate reduction to be a top priority for our companies and our country,” wrote AT&T CEO Randall Stephenson, FedEx CEO Frederick Smith and 19 others in a letter on Monday to the chairmen and ranking minority members of the House Ways and Means Committee and the Senate Finance Committee. All those who signed the letter to lawmakers are members of the RATE Coalition, which stands for Reforming America’s Taxes Equitably.

C-suite discontent with the 35% U.S. corporate tax rate –the world’s highest — is not new. But the corporate chiefs’ renewed pressure is a sure sign of increased lobbying to come for action on comprehensive reform.

And that’s where some of the heaviest lifting will need to be done, as Politico recently highlighted. Rewriting the individual Tax Code “will require lawmakers to finally strike a deal on the thorny issues that have long hobbled individual reform: namely, what to do with popular provisions like the deductions for charitable contributions and mortgage interest,” Politico wrote.

The business leaders recognize that “some choices may be difficult,” as they wrote in their letter to Rep. Dave Camp, the Michigan Republican who chairs the House Ways and Means Committee, and Rep. Sander Levin, also of Michigan, that panel’s top Democrat. It was also addressed to Senate Finance Committee Chairman Max Baucus, a Montana Democrat, and Utah Republican Orrin Hatch, the panel’s top GOP member.

Difficult or not, the CEOs say reform can be done, pointing to the accomplishments of President Ronald Reagan and House Speaker Tip O’Neill.